Answer to Question #264154 in Statistics and Probability for Nathan

Question

Tourists planning their trip to an annual event on an island resort can reach their destination by purchasing a return ticket to travel either by plane or by ferry. The front-desk manager at the resort wants to know if there is a difference in the average ticket prices for the two different modes of transportation. She collects data from ten tourists travelling by plane, and ten tourists travelling by ferry. ticket prices are approximately normally distributed. Let Difference = Plane – Ferry. Do not round off intermediate calculations.

 

Plane: Mean - 1514.8 Variance - 21.1

Ferry: Mean - 1540.5 Variance - 19.6

 

When testing the appropriate hypothesis at the 5% level of significance, the value of the test statistic and the critical value(s) are, respectively:

a.) Test statistic = -18.016 ; Critical value(s) = +/- 2.2622

b.) Test statistic = -12.739 ; Critical value(s) = +/- 2.2622

c.) Test statistic = -12.739 ; Critical value(s) = +/- 2.1009

d.) Test statistic = -18.016 ; Critical value(s) = +/- 2.1009